42213334002000 has 320 divisors, whose sum is σ = 157078040790528. Its totient is φ = 9553228800000.

The previous prime is 42213334001981. The next prime is 42213334002031. The reversal of 42213334002000 is 20043331224.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 733641 + ... + 9217640.

Almost surely, 2^{42213334002000} is an apocalyptic number.

42213334002000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42213334002000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78539020395264).

42213334002000 is an abundant number, since it is smaller than the sum of its proper divisors (114864706788528).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

42213334002000 is a wasteful number, since it uses less digits than its factorization.

42213334002000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9951415 (or 9951399 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 42213334002000 its reverse (20043331224), we get a palindrome (42233377333224).

The spelling of 42213334002000 in words is "forty-two trillion, two hundred thirteen billion, three hundred thirty-four million, two thousand".